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Finding the Fourth Proportional to 176,076.60, 264,698.10 and 150,415.80

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Solution

The fourth proportional to 176,076.60, 264,698.10 and 150,415.80 is: 226,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076.60 : 264,698.10 = 150,415.80 : x
  2. Step 2: Convert to fraction form
    176,076.60/264,698.10 = 150,415.80/x
  3. Step 3: Cross multiply
    176,076.60x = 264,698.10 × 150,415.80
  4. Step 4: Simplify right side
    176,076.60x = 39,814,776,469.98
  5. Step 5: Solve for x
    x = 39,814,776,469.98/176,076.60
  6. Step 6: Final answer
    x = 226,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.